1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
melomori [17]
3 years ago
15

A thief steals an ATM card and must randomly guess the correct seven​-digit pin code from a 4​-key keypad. Repetition of digits

is allowed. What is the probability of a correct guess on the first​ try?
Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
7 0

Answer:

The probability of correct guess on the first​ try is \frac{1}{16384}.

Step-by-step explanation:

Consider the provided information.

The ATM has 4 key pad and required a 7 digit pin, where repetition is allowed.

Thief has 7 slots and 4 choices per slot. Because repetition is allowed.

Thus, the total number of different ways are:

4×4×4×4×4×4×4 = 16384

But only one combination is proper code.

Therefore,

\frac{1}{16384}

Hence, the probability of correct guess on the first​ try is \frac{1}{16384}.

You might be interested in
Expand the function f(x)=(3x+2)^4 with the binomial theorem, not factored
lozanna [386]

Step-by-step explanation:

Enter a problem...

Algebra Examples

Popular Problems

 

Algebra

 

Expand using the Binomial Theorem (3x+2)^4

(3x+2)4(3x+2)4

Use the binomial expansion theorem to find each term. The binomial theorem states (a+b)n=n∑k=0nCk⋅(an−kbk)(a+b)n=∑k=0n⁡nCk⋅(an-kbk).

4∑k=04!(4−k)!k!⋅(3x)4−k⋅(2)k∑k=04⁡4!(4-k)!k!⋅(3x)4-k⋅(2)k

Expand the summation.

4!(4−0)!0!⋅(3x)4−0⋅(2)0+4!(4−1)!1!⋅(3x)4−1⋅(2)+4!(4−2)!2!⋅(3x)4−2⋅(2)2+4!(4−3)!3!⋅(3x)4−3⋅(2)3+4!(4−4)!4!⋅(3x)4−4⋅(2)44!(4-0)!0!⋅(3x)4-0⋅(2)0+4!(4-1)!1!⋅(3x)4-1⋅(2)+4!(4-2)!2!⋅(3x)4-2⋅(2)2+4!(4-3)!3!⋅(3x)4-3⋅(2)3+4!(4-4)!4!⋅(3x)4-4⋅(2)4

Simplify the exponents for each term of the expansion.

1⋅(3x)4⋅(2)0+4

Hope this helps!

8 0
3 years ago
Read 2 more answers
Help fast !!!! I need to get this done before I go to school ixl AA.1
Lorico [155]

Answer:

slope = - \frac{7}{5}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (0, - 7 ) ← 2 points on the line

m = \frac{-7-0}{0-(-5)} = \frac{-7}{0+5} = \frac{-7}{5} = - \frac{7}{5}

4 0
3 years ago
A gardener has 27 pansies and 36 daisies.He plants an equal number of each type of flower in each row.What is the greatest possi
mojhsa [17]
I think it might be 3 rows. Hope this helped
6 0
3 years ago
Read 2 more answers
I need help, what is 9^-2+181-69? this is math
satela [25.4K]

Answer:

193

Step-by-step explanation:

9^2 = 81+181=262-69= 193

4 0
2 years ago
What is the Factor: 24x - 60
kozerog [31]
The answer is
12(2x-5)
good luckk
i hope i could help
6 0
3 years ago
Other questions:
  • The product of x and the sum of 6 and 8 times the square of x
    12·1 answer
  • A store uses the expression –2p + 50 to model the number of backpacks it sells per day, where the price, p, can be anywhere from
    15·2 answers
  • Place the following decimals in order from least to greatest 2.09,2.005,.2,2.033,2.1,2.05
    13·1 answer
  • If Jan had 10<br> Apples and gave 4 to him, how many apples does Jan have left?
    14·1 answer
  • Please answer both ASAP (middle school) (probability)
    7·1 answer
  • HELP ME ASAP PLEASE
    12·1 answer
  • If x=3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equa
    13·1 answer
  • Solve : 5(x−12)=260+4x
    6·2 answers
  • Describe in words a sequence of transformations that maps ABC to A' B' C
    6·2 answers
  • Which set of ordered pairs represents a function?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!